, Volume 13, Issue 1, pp 37–40 | Cite as

Elastic stability of conservative systems: A new approach

  • C. Y. Massalas
  • G. I. Tzivanidis
  • E. K. Manesis


A critical load analysis for conservative systems subjected to arbitrary constraints is presented. The principle of stationary potential energy is used throughout. The base state, considered in general a bending state, and the nontrivial constraints are approximated by linear theory. The description of an adjacent equilibrium state is then obtained from the nonlinear theory and the eigenvalue problem is formulated using an appropriate linearization procedure. The method is subsequently applied to the stability problem of a cylindrical isotropic shell.


Potential Energy Equilibrium State Civil Engineer Eigenvalue Problem Critical Load 
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Si presenta un'analisi del carico critico per sistemi conservativi soggetti a vincoli arbitrari. Si usa costantemente il principio dell'energia potenziale stazionaria. Lo stato di base, considerato in generale uno stato di flessione, e i vincoli non banali sono approssimati con teorie lineari. Si ottiene poi la descrizione dalla teoria non lineare di uno stato di equilibrio adiacente e si formula il problema di autovalori usando un procedimento di linearizzazione approssimata. Il metodo viene poi applicato al problema della stabilità di un guscio cilindrico isotropo.


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Copyright information

© Pitagora Editrice Bologna 1978

Authors and Affiliations

  • C. Y. Massalas
    • 1
  • G. I. Tzivanidis
    • 1
  • E. K. Manesis
    • 1
  1. 1.University of IoanninaIoanninaGreece

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